Mock EOG 8th Grade - Calcu active

What is the volume of a can of soup with a base radius of 2 inches and a height of 5 inches? (Round to the nearest tenth.)

• 62.8 in³
• 31.4 in³
• 15.7 in³
• 12.6 in³

Find the volume of a sphere whose diameter is 4cm to the nearest whole number.

• 34 cm³
• 268 cm³
• 50 cm³
• 201 cm³

A cylinder has a height of 9 cm and a radius of 4 cm. What is the volume in cubic centimeters?

• 36π  cm³
• 144π cm³
• 324π cm³
• 16π cm³

A cone has a height of 4 in and a radius of 6 in. What is the volume of the cone in cubic inches?

• 8π in³
• 24π in³
• 48π in³
• 144π in³

What is the length of the diagonal of this rectangle?

• 3.5 inches

• 3.7 inches

• 5 inches

• 7 inches

What is the length of the third side of the right triangle below?

• 12 centimeters

• 18 centimeters

• 24 centimeters

• 48 centimeters

The coordinate grid shows the location of Carla’s home at point A and the location of the closest movie theater at point B.

Which whole number is the closest approximation for the shortest distance between Carla’s home and the movie theater?

• 12 units

• 9 units

• 8 units

• 7 units

What is the distance between two points located at (1,6) and (4.-6) on a coordinate grid?

• 15

• 13

• ^√153

• √135

The points P(3, –2), Q(10, –2), and R(3, –8) are the vertices of a triangle. What is the approximate length of side RQ?

• 7 units

• 9 units

• 11 units

• 13 units

Lines v and w are parallel. What is the value of x?

• 6

• 8

• 30

• 39